blowing up (Q3425)

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in algebraic geometry, a transformation on an algebraic variety or scheme, wherein a closed subvariety is replaced with the space of lines passing through it (in the case of a point, a projective space), commonly used to resolve singularities
  • monoidal transformation
  • locally quadratic transformation
  • dilatation
  • σ-process
  • Hopf map
  • blow-up
  • blowup
Language Label Description Also known as
English
blowing up
in algebraic geometry, a transformation on an algebraic variety or scheme, wherein a closed subvariety is replaced with the space of lines passing through it (in the case of a point, a projective space), commonly used to resolve singularities
  • monoidal transformation
  • locally quadratic transformation
  • dilatation
  • σ-process
  • Hopf map
  • blow-up
  • blowup

Statements

/m/05zbnz
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Blowup.png
1,024 × 1,024; 182 KB
affine chart of the blowing-up of the affine plane at the origin; the exceptional curve is marked in red, and the strict transforms of some lines through the origin are marked in gray (English)
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2778180344
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2780390204
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Blow-up_algebra
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Q1036595
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